30299111424000 has 2160 divisors, whose sum is σ = 121528068742080. Its totient is φ = 7508223590400.

The previous prime is 30299111423981. The next prime is 30299111424011. The reversal of 30299111424000 is 42411199203.

30299111424000 is a `hidden beast` number, since 3 + 0 + 29 + 91 + 1 + 142 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 383533055961 + ... + 383533056039.

It is an arithmetic number, because the mean of its divisors is an integer number (56262994788).

Almost surely, 2^{30299111424000} is an apocalyptic number.

30299111424000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30299111424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60764034371040).

30299111424000 is an abundant number, since it is smaller than the sum of its proper divisors (91228957318080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

30299111424000 is an frugal number, since it uses more digits than its factorization.

30299111424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 30299111424000 in words is "thirty trillion, two hundred ninety-nine billion, one hundred eleven million, four hundred twenty-four thousand".